Not at all. Competitive karuta just
happens to be about poetry. It could be nursery rhymes, lines from Enka songs, or even pictures of farm animals, and it wouldn't change the game for the overwhelming majority of its practitioners.
In fact, that is exactly the reality of the game in Japan. Characters in Chihayafuru play
Uta-garuta. There's also mythological monster karuta, and a nursery rhyme one.
The basis of the
Uta-garuta is a fundamental part of it for Kana, but that does not extend it to that level for anyone else that we are aware of. Kana is an admitted Imperial Court Era otaku. Certainly not the previous Queen. Or any title holder. Arata's grandfather appreciated the poems greatly, but he did not live his life that way. Does Shinobu care about them at all? She seems far more the type that is Queen simply because she's good at this particular game.
Kana has gotten a bit disgusted at competitive karuta. No one that high ranking listens to the poems, except perhaps Arata's grandfather. Yumi made zero mention of it, unlike many of the other powerful opponents we've seen. It's clear she views karuta as a practiced skill or talent as she lamented over only having the title for a single year while working so hard. That's why Kana, who still wants to be involved, has set her sights on becoming a distinguished reader rather than playing.